Question

What is the slope of the secant line that intersects the graph of f(x)=0.5⁻ˣ at x=1 and x=5

Answer 1

To find the slope of the secant line that intersects the graph of f(x)=0.5⁻ˣ at x=1 and x=5, calculate the difference in the y-values and the difference in the x-values between these two points. Then, divide the difference in the y-values by the difference in the x-values to find the slope.

Step-by-step explanation:

To find the slope of the secant line that intersects the graph of f(x)=0.5⁻ˣ at x=1 and x=5, we need to calculate the difference in the y-values and the difference in the x-values between these two points. The slope of a line is found by dividing the difference in the y-values by the difference in the x-values. Let's calculate it step by step:

1. First, find the y-values of f(x) at x=1 and x=5. Plug these values into the function f(x)=0.5⁻ˣ to get f(1) and f(5).
2. Second, calculate the difference in the y-values: f(5) - f(1).
3. Third, calculate the difference in the x-values: 5 - 1.
4. Finally, divide the difference in the y-values by the difference in the x-values to get the slope of the secant line.